Prime p₀= 788216213671346399 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: scrap
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	788215742849427649	0 42 58 72 78 82 102 120 172 190 210 214 220 234 250 292	-470821918750
TPT(14)	788215803691970777	0 2 12 14 54 56 60 62 90 92 102 104 132 134	-409979375622
SPT(16)	788215805273280473	0 14 24 56 96 108 116 134 150 168 176 188 228 260 270 284	-408398065926
SPT(16)	788215952157986543	0 60 66 78 146 156 164 168 206 210 218 228 296 308 314 374	-261513359856
SPT(16)	788216181969459281	0 36 56 80 86 122 126 188 240 302 306 342 348 372 392 428	-31701887118
STPT(10)	788216197288083911	0 2 6 8 48 50 90 92 96 98	-16383262488
SPT(16)	788216535814501891	0 48 70 82 160 192 238 258 262 282 328 360 438 450 472 520	322143155492
SPT(16)	788216596389986117	0 44 54 56 72 162 182 222 254 294 314 404 420 422 432 476	382718639718
STPT(10)	788217040629717371	0 2 30 32 78 80 126 128 156 158	826958370972
STPT(10)	788217387841556339	0 2 18 20 30 32 42 44 60 62	1174170209940
STPT(10)	788217618399073529	0 2 18 20 60 62 102 104 120 122	1404727727130